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joja [24]
2 years ago
13

Point B is in the interior of ∠AOC, m∠AOC = 108°, m∠AOB = 3m∠BOC. Find m∠AOB.

Mathematics
2 answers:
valentinak56 [21]2 years ago
6 0
If point is the interior of <AOC ,
 then m<AOB + m<BOC = m< AOC    (  angle addition postulate )         eq 1
          (3m<BOC )  +   m <BOC  = m <AOC   {   m<AOB =  3m<BOC)
              4m <BOC  =    108  
                   m<BOC  =    27 

      m<AOB + m <BOC =  m < AOC 
       m<AOB  =   108 - 27 
        m <AOB  =    81 





Anna007 [38]2 years ago
5 0

Answer:

The measure of point B is 36 degrees

Step-by-step explanation:

Since point B is in the interior of the angle AOC, we take the measure of AOC and divide it by 3. You should get 36.

Formula: 3x=108

                x=36

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Question:

Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi27π27, pi cm^3 3 start superscript, 3, end superscript of melted purple liquid. The radius of the cone is 333 cm. What is the height of the cone?

Answer:

The height of the cone is 9 \ cm

Explanation:

It is given that the radius of the cone is 3 \ cm

The volume of the cone is 27\pi

The height of the cone can be determine using the formula,  

$V=\frac{1}{3} \pi r^{2} h$

Substituting the values V=27 \pi and r=3, we get,

$27 \pi=\frac{1}{3} \pi(3)^{2} h$

Multiplying both sides by 3, we have,

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Dividing both sides by $9 \pi$, we have,

9=h

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